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Finding the Fourth Proportional to 291,774.87, 402,783.75 and 205,803.90

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Solution

The fourth proportional to 291,774.87, 402,783.75 and 205,803.90 is: 284,104.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,774.87 : 402,783.75 = 205,803.90 : x
  2. Step 2: Convert to fraction form
    291,774.87/402,783.75 = 205,803.90/x
  3. Step 3: Cross multiply
    291,774.87x = 402,783.75 × 205,803.90
  4. Step 4: Simplify right side
    291,774.87x = 82,894,466,606.63
  5. Step 5: Solve for x
    x = 82,894,466,606.63/291,774.87
  6. Step 6: Final answer
    x = 284,104.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.